Question 511456
We need to select 1 man from 5 and 1 woman from 2

Use
nCr=n!/r!(n-r)!
1 man from 5
5C1=5!/1!(5-1)!
5C1=5!/1!4!
5C1=5*4!/1!4!
Cancel out 4!
5C1=5 ways
1 woman from 2
2C1=2!/1!(2-1)!
2C1=2!/1!1!
2C1=2*1
2C1=2 ways

Total Number of ways = 5C2*2C1=5*2=10 ways


One man can be selected out of 5 men = 5 ways
One woman can be select out of 2 women = 2 ways

There are 10 number of ways that male and female can be selected